Analysis of xx-ph-00018774-KZ1C-base.sdk
Original Sudoku
level: deep
position: 98.7.....6...5.9....4..9.3.5...9.....7.8.......3..2.1..4..2..6...6.....3.....61.. initial
Autosolve
position: 98.7.....63..5.9....4..9.3.5...9.....7.8.......3..2.1..4..2..6...6.....3.....61.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:35.963981
The following important HDP chains were detected:
* DIS # I6: 4,8 # C4: 1,2 => CTR => C4: 8 * CNT 1 HDP CHAINS / 74 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000021
List of important HDP chains detected for D2,D3: 2..:
* DIS # D3: 2 # G6: 4,7 => CTR => G6: 5,8 * DIS # D3: 2 + G6: 5,8 # I6: 4,7 => CTR => I6: 5,8,9 * CNT 2 HDP CHAINS / 75 HYP OPENED
List of important HDP chains detected for C1,B3: 5..:
* DIS # B3: 5 # C2: 1,2 => CTR => C2: 7 * PRF # B3: 5 + C2: 7 # C4: 1,2 => SOL * STA # B3: 5 + C2: 7 + C4: 1,2 * CNT 2 HDP CHAINS / 22 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is deep. Here is some information that may be helpful on how to proceed.
Positions
| 98.7.....6...5.9....4..9.3.5...9.....7.8.......3..2.1..4..2..6...6.....3.....61.. | initial |
| 98.7.....63..5.9....4..9.3.5...9.....7.8.......3..2.1..4..2..6...6.....3.....61.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (2) A6: 4,8 B6: 6,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,D3: 2.. / D2 = 2 => 4 pairs (_) / D3 = 2 => 8 pairs (_) E1,F1: 3.. / E1 = 3 => 3 pairs (_) / F1 = 3 => 2 pairs (_) G4,G5: 3.. / G4 = 3 => 2 pairs (_) / G5 = 3 => 2 pairs (_) A7,A9: 3.. / A7 = 3 => 2 pairs (_) / A9 = 3 => 2 pairs (_) A5,A6: 4.. / A5 = 4 => 2 pairs (_) / A6 = 4 => 4 pairs (_) C1,B3: 5.. / C1 = 5 => 4 pairs (_) / B3 = 5 => 4 pairs (_) F5,D6: 5.. / F5 = 5 => 3 pairs (_) / D6 = 5 => 2 pairs (_) B4,B6: 6.. / B4 = 6 => 3 pairs (_) / B6 = 6 => 4 pairs (_) C2,A3: 7.. / C2 = 7 => 3 pairs (_) / A3 = 7 => 3 pairs (_) F4,E6: 7.. / F4 = 7 => 3 pairs (_) / E6 = 7 => 2 pairs (_) F2,E3: 8.. / F2 = 8 => 3 pairs (_) / E3 = 8 => 3 pairs (_) C4,A6: 8.. / C4 = 8 => 4 pairs (_) / A6 = 8 => 2 pairs (_) C5,B6: 9.. / C5 = 9 => 4 pairs (_) / B6 = 9 => 3 pairs (_) B6,I6: 9.. / B6 = 9 => 3 pairs (_) / I6 = 9 => 4 pairs (_) * DURATION: 0:00:09.749229 START: 06:03:45.816290 END: 06:03:55.565519 2020-12-06 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D2,D3: 2.. / D2 = 2 ==> 4 pairs (_) / D3 = 2 ==> 8 pairs (_) C1,B3: 5.. / C1 = 5 ==> 4 pairs (_) / B3 = 5 ==> 0 pairs (*) * DURATION: 0:00:59.528939 START: 06:04:35.353665 END: 06:05:34.882604 2020-12-06 * REASONING D2,D3: 2.. * DIS # D3: 2 # G6: 4,7 => CTR => G6: 5,8 * DIS # D3: 2 + G6: 5,8 # I6: 4,7 => CTR => I6: 5,8,9 * CNT 2 HDP CHAINS / 75 HYP OPENED * REASONING C1,B3: 5.. * DIS # B3: 5 # C2: 1,2 => CTR => C2: 7 * PRF # B3: 5 + C2: 7 # C4: 1,2 => SOL * STA # B3: 5 + C2: 7 + C4: 1,2 * CNT 2 HDP CHAINS / 22 HYP OPENED * DCP COUNT: (2) * SOLUTION FOUND
Header Info
18774;KZ1C;GP;23;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # G6: 4,8 => UNS * INC # I6: 4,8 => UNS * INC # I6: 6,9 => UNS * INC # I6: 4,5,7,8 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G6: 4,8 => UNS * INC # I6: 4,8 => UNS * INC # I6: 6,9 => UNS * INC # I6: 4,5,7,8 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G6: 4,8 => UNS * INC # I6: 4,8 => UNS * INC # I6: 6,9 => UNS * INC # I6: 4,5,7,8 => UNS * INC # G6: 4,8 # I6: 6,9 => UNS * INC # G6: 4,8 # I6: 5,7 => UNS * INC # G6: 4,8 # I6: 5,6 => UNS * INC # G6: 4,8 # I6: 7,9 => UNS * INC # G6: 4,8 # I6: 6,7 => UNS * INC # G6: 4,8 # I6: 5,9 => UNS * INC # G6: 4,8 # G4: 4,8 => UNS * INC # G6: 4,8 # H4: 4,8 => UNS * INC # G6: 4,8 # I4: 4,8 => UNS * INC # G6: 4,8 # G8: 4,8 => UNS * INC # G6: 4,8 # G8: 2,5,7 => UNS * INC # G6: 4,8 => UNS * DIS # I6: 4,8 # C4: 1,2 => CTR => C4: 8 * INC # I6: 4,8 + C4: 8 # C1: 1,2 => UNS * INC # I6: 4,8 + C4: 8 # C2: 1,2 => UNS * INC # I6: 4,8 + C4: 8 # G6: 5,6 => UNS * INC # I6: 4,8 + C4: 8 # G6: 7 => UNS * INC # I6: 4,8 + C4: 8 # G6: 6,7 => UNS * INC # I6: 4,8 + C4: 8 # G6: 5 => UNS * INC # I6: 4,8 + C4: 8 # B8: 2,5 => UNS * INC # I6: 4,8 + C4: 8 # C9: 2,5 => UNS * INC # I6: 4,8 + C4: 8 # H9: 2,5 => UNS * INC # I6: 4,8 + C4: 8 # I9: 2,5 => UNS * INC # I6: 4,8 + C4: 8 # B3: 2,5 => UNS * INC # I6: 4,8 + C4: 8 # B3: 1 => UNS * INC # I6: 4,8 + C4: 8 # A3: 1,2 => UNS * INC # I6: 4,8 + C4: 8 # A8: 1,2 => UNS * INC # I6: 4,8 + C4: 8 # C1: 1,2 => UNS * INC # I6: 4,8 + C4: 8 # C2: 1,2 => UNS * INC # I6: 4,8 + C4: 8 # G6: 5,6 => UNS * INC # I6: 4,8 + C4: 8 # G6: 7 => UNS * INC # I6: 4,8 + C4: 8 # G6: 6,7 => UNS * INC # I6: 4,8 + C4: 8 # G6: 5 => UNS * INC # I6: 4,8 + C4: 8 # B8: 2,5 => UNS * INC # I6: 4,8 + C4: 8 # C9: 2,5 => UNS * INC # I6: 4,8 + C4: 8 # H9: 2,5 => UNS * INC # I6: 4,8 + C4: 8 # I9: 2,5 => UNS * INC # I6: 4,8 + C4: 8 # B3: 2,5 => UNS * INC # I6: 4,8 + C4: 8 # B3: 1 => UNS * INC # I6: 4,8 + C4: 8 => UNS * INC # I6: 6,9 # G6: 4,8 => UNS * INC # I6: 6,9 # G6: 5,7 => UNS * INC # I6: 6,9 # F5: 4,5 => UNS * INC # I6: 6,9 # F5: 1,3 => UNS * INC # I6: 6,9 # G6: 4,5 => UNS * INC # I6: 6,9 # G6: 7,8 => UNS * INC # I6: 6,9 # D8: 4,5 => UNS * INC # I6: 6,9 # D9: 4,5 => UNS * INC # I6: 6,9 # F4: 4,7 => UNS * INC # I6: 6,9 # F4: 1,3 => UNS * INC # I6: 6,9 # G6: 4,7 => UNS * INC # I6: 6,9 # G6: 5,8 => UNS * INC # I6: 6,9 # E8: 4,7 => UNS * INC # I6: 6,9 # E9: 4,7 => UNS * INC # I6: 6,9 # I5: 6,9 => UNS * INC # I6: 6,9 # I5: 2,4,5 => UNS * INC # I6: 6,9 => UNS * INC # I6: 4,5,7,8 # C4: 1,2 => UNS * INC # I6: 4,5,7,8 # A5: 1,2 => UNS * INC # I6: 4,5,7,8 # C1: 1,2 => UNS * INC # I6: 4,5,7,8 # C2: 1,2 => UNS * INC # I6: 4,5,7,8 # G6: 4,8 => UNS * INC # I6: 4,5,7,8 # I6: 4,8 => UNS * INC # I6: 4,5,7,8 # B8: 2,5 => UNS * INC # I6: 4,5,7,8 # C9: 2,5 => UNS * INC # I6: 4,5,7,8 # H9: 2,5 => UNS * INC # I6: 4,5,7,8 # I9: 2,5 => UNS * INC # I6: 4,5,7,8 # B3: 2,5 => UNS * INC # I6: 4,5,7,8 # B3: 1 => UNS * INC # I6: 4,5,7,8 => UNS * CNT 74 HDP CHAINS / 74 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D2,D3: 2..:
* INC # D3: 2 # C2: 1,7 => UNS * INC # D3: 2 # C2: 2 => UNS * INC # D3: 2 # I3: 1,7 => UNS * INC # D3: 2 # I3: 5,6,8 => UNS * INC # D3: 2 # A7: 1,7 => UNS * INC # D3: 2 # A8: 1,7 => UNS * INC # D3: 2 # C1: 1,5 => UNS * INC # D3: 2 # C1: 2 => UNS * INC # D3: 2 # I3: 1,5 => UNS * INC # D3: 2 # I3: 6,7,8 => UNS * INC # D3: 2 # B8: 1,5 => UNS * INC # D3: 2 # B8: 2,9 => UNS * INC # D3: 2 # E1: 1,4 => UNS * INC # D3: 2 # F1: 1,4 => UNS * INC # D3: 2 # F2: 1,4 => UNS * INC # D3: 2 # I2: 1,4 => UNS * INC # D3: 2 # I2: 2,7,8 => UNS * INC # D3: 2 # D4: 1,4 => UNS * INC # D3: 2 # D8: 1,4 => UNS * INC # D3: 2 # C7: 1,8 => UNS * INC # D3: 2 # C7: 5,7,9 => UNS * INC # D3: 2 # C7: 1,9 => UNS * INC # D3: 2 # C7: 5,7,8 => UNS * INC # D3: 2 # G6: 4,8 => UNS * INC # D3: 2 # I6: 4,8 => UNS * INC # D3: 2 # F4: 4,7 => UNS * INC # D3: 2 # F4: 1,3 => UNS * DIS # D3: 2 # G6: 4,7 => CTR => G6: 5,8 * DIS # D3: 2 + G6: 5,8 # I6: 4,7 => CTR => I6: 5,8,9 * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # C2: 1,7 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # C2: 2 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # I3: 1,7 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # I3: 5,6,8 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # A7: 1,7 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # A8: 1,7 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # C1: 1,5 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # C1: 2 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # I3: 1,5 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # I3: 6,7,8 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # B8: 1,5 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # B8: 2,9 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # E1: 1,4 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # F1: 1,4 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # F2: 1,4 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # I2: 1,4 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # I2: 2,7,8 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # D4: 1,4 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # D8: 1,4 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # C7: 1,8 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # C7: 5,7,9 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # C7: 1,9 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # C7: 5,7,8 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # I6: 5,8 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # I6: 9 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # G3: 5,8 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # G7: 5,8 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 # G8: 5,8 => UNS * INC # D3: 2 + G6: 5,8 + I6: 5,8,9 => UNS * INC # D2: 2 # A3: 1,7 => UNS * INC # D2: 2 # A3: 2 => UNS * INC # D2: 2 # I2: 1,7 => UNS * INC # D2: 2 # I2: 4,8 => UNS * INC # D2: 2 # C7: 1,7 => UNS * INC # D2: 2 # C7: 5,8,9 => UNS * INC # D2: 2 # E1: 1,6 => UNS * INC # D2: 2 # E3: 1,6 => UNS * INC # D2: 2 # I3: 1,6 => UNS * INC # D2: 2 # I3: 2,5,7,8 => UNS * INC # D2: 2 # D4: 1,6 => UNS * INC # D2: 2 # D4: 3,4 => UNS * INC # D2: 2 # G6: 4,8 => UNS * INC # D2: 2 # I6: 4,8 => UNS * INC # D2: 2 # I6: 6,9 => UNS * INC # D2: 2 # I6: 4,5,7,8 => UNS * INC # D2: 2 => UNS * CNT 75 HDP CHAINS / 75 HYP OPENED
Full list of HDP chains traversed for C1,B3: 5..:
* INC # C1: 5 # C2: 1,2 => UNS * INC # C1: 5 # A3: 1,2 => UNS * INC # C1: 5 # D3: 1,2 => UNS * INC # C1: 5 # D3: 6 => UNS * INC # C1: 5 # B4: 1,2 => UNS * INC # C1: 5 # B8: 1,2 => UNS * INC # C1: 5 # G1: 2,4 => UNS * INC # C1: 5 # I1: 2,4 => UNS * INC # C1: 5 # H4: 2,4 => UNS * INC # C1: 5 # H5: 2,4 => UNS * INC # C1: 5 # H8: 2,4 => UNS * INC # C1: 5 # H9: 2,4 => UNS * INC # C1: 5 # G6: 4,8 => UNS * INC # C1: 5 # I6: 4,8 => UNS * INC # C1: 5 # I6: 6,9 => UNS * INC # C1: 5 # I6: 4,5,7,8 => UNS * INC # C1: 5 => UNS * DIS # B3: 5 # C2: 1,2 => CTR => C2: 7 * INC # B3: 5 + C2: 7 # I1: 1,2 => UNS * INC # B3: 5 + C2: 7 # I1: 4,5,6 => UNS * PRF # B3: 5 + C2: 7 # C4: 1,2 => SOL * STA # B3: 5 + C2: 7 + C4: 1,2 * CNT 21 HDP CHAINS / 22 HYP OPENED